In ΔPQR, the angle bisectors intersect at the incenter I. If ∠P = 60° and ∠Q = 70°, what is the measure of ∠PIQ?
Show answer & explanation
Correct answer: C
Explanation
Given:
∠P = 60°
∠Q = 70°
I = incenter
By formula:
∠PIQ = 90° + (∠R / 2)
∠R = 180° − (60° + 70°)
∠R = 180° − 130°
∠R = 50°
∠PIQ = 90° + (50° / 2)
∠PIQ = 90° + 25°
∠PIQ = 115°